4(2x-1)-2(2x-1)=6

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Solution for 4(2x-1)-2(2x-1)=6 equation:


Simplifying
4(2x + -1) + -2(2x + -1) = 6

Reorder the terms:
4(-1 + 2x) + -2(2x + -1) = 6
(-1 * 4 + 2x * 4) + -2(2x + -1) = 6
(-4 + 8x) + -2(2x + -1) = 6

Reorder the terms:
-4 + 8x + -2(-1 + 2x) = 6
-4 + 8x + (-1 * -2 + 2x * -2) = 6
-4 + 8x + (2 + -4x) = 6

Reorder the terms:
-4 + 2 + 8x + -4x = 6

Combine like terms: -4 + 2 = -2
-2 + 8x + -4x = 6

Combine like terms: 8x + -4x = 4x
-2 + 4x = 6

Solving
-2 + 4x = 6

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + 4x = 6 + 2

Combine like terms: -2 + 2 = 0
0 + 4x = 6 + 2
4x = 6 + 2

Combine like terms: 6 + 2 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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